3242400000 has 432 divisors, whose sum is σ = 12390956928. Its totient is φ = 737280000.

The previous prime is 3242399983. The next prime is 3242400037. The reversal of 3242400000 is 42423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16799904 + ... + 16800096.

Almost surely, 2^3242400000 is an apocalyptic number.

3242400000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3242400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195478464).

3242400000 is an abundant number, since it is smaller than the sum of its proper divisors (9148556928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3242400000 is an frugal number, since it uses more digits than its factorization.

3242400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3242400000 is about 56942.0758314974. The cubic root of 3242400000 is about 1480.0925191736.

Adding to 3242400000 its reverse (42423), we get a palindrome (3242442423).

It can be divided in two parts, 324 and 2400000, that multiplied together give a 5-th power (777600000 = 60⁵).

The spelling of 3242400000 in words is "three billion, two hundred forty-two million, four hundred thousand".